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Autocallable notes (single underlying) with an autocall coupon (rebate) and knock-in capital protection.
Mechanics (classic “Athena” structure) on equally spaced observation
dates t_1 .. t_n (with t_n = T):
- if
S(t_m) >= autocall_barrier, the note redeems early att_mpayingnotional + m * coupon(the accrued coupon is the rebate); - if never called: at
T, if the path never breachedprotection_barrier(discretely monitored on the simulation grid), the holder receives the notional back; otherwise the protection is knocked in and the holder receivesnotional * S_T / S_initial(1:1 downside participation from the contractual initial fixing).
Cash flows occur at different dates, so pricing is a dedicated Monte Carlo route that discounts each call date on the option’s curve. The route runs under GBM, Dupire local volatility (the market-standard model for these notes — the skew drives the knock-in value) and Heston.